Technology History Bleg

Can someone help me to clarify for me the relationship between the work of Claude Shannon and Alan Turing?  Seen from 37,000 feet, there seems to be an awul lot of overlap--simultaneous discovery? Closer in and I can surmise that there are important differences, but I am a little hazy on just how and what.   James Gleick does discuss sthem together in The Information, but (maybe just me) I didn't find it particularly helpful.   Bonus extra points for insights into the role of Norbert Wiener, plus a private viewing of my very own Wiener story (pretty tame actually, but perhaps amusing).